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397963056 = 243192941367
BaseRepresentation
bin10111101110000…
…110111100110000
31000201211121200110
4113232012330300
51303334304211
6103253421320
712601426101
oct2756067460
91021747613
10397963056
11194704597
12b133a840
13645aa3ca
143abd43a8
1524e0eea6
hex17b86f30

397963056 has 160 divisors (see below), whose sum is σ = 1149926400. Its totient is φ = 118056960.

The previous prime is 397963051. The next prime is 397963073. The reversal of 397963056 is 650369793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 397962996 and 397963014.

It is not an unprimeable number, because it can be changed into a prime (397963051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084185 + ... + 1084551.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2397963056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397963056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

397963056 is an abundant number, since it is smaller than the sum of its proper divisors (751963344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

397963056 is a wasteful number, since it uses less digits than its factorization.

397963056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 48.

The square root of 397963056 is about 19949.0114040771. The cubic root of 397963056 is about 735.5534763967.

The spelling of 397963056 in words is "three hundred ninety-seven million, nine hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 41 48 57 58 76 82 87 114 116 123 152 164 174 228 232 246 304 328 348 367 456 464 492 551 656 696 734 779 912 984 1101 1102 1189 1392 1468 1558 1653 1968 2202 2204 2337 2378 2936 3116 3306 3567 4404 4408 4674 4756 5872 6232 6612 6973 7134 8808 8816 9348 9512 10643 12464 13224 13946 14268 15047 17616 18696 19024 20919 21286 22591 26448 27892 28536 30094 31929 37392 41838 42572 45141 45182 55784 57072 60188 63858 67773 83676 85144 90282 90364 111568 120376 127716 135546 167352 170288 180564 180728 202217 240752 255432 271092 285893 334704 361128 361456 404434 436363 510864 542184 571786 606651 722256 808868 857679 872726 1084368 1143572 1213302 1309089 1617736 1715358 1745452 2287144 2426604 2618178 3235472 3430716 3490904 4574288 4853208 5236356 6861432 6981808 8290897 9706416 10472712 13722864 16581794 20945424 24872691 33163588 49745382 66327176 99490764 132654352 198981528 397963056